Compact Simple Lie Groups and Their C-, S-, and E-Transforms

Abstract

New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 ≤ n < ∞. Rank 1 transforms are known. Rank 2 exposition of C- and S-transforms is in the literature. The E-transforms appear here for the first time.